The Hypergraph Assignment Problem

Please always quote using this URN: urn:nbn:de:0297-zib-14822
  • The hypergraph assignment problem (HAP) is the generalization of assignments from directed graphs to directed hypergraphs. It serves, in particular, as a universal tool to model several train composition rules in vehicle rotation planning for long distance passenger railways. We prove that even for problems with a small hyperarc size and hypergraphs with a special partitioned structure the HAP is NP-hard and APX-hard. Further, we present an extended integer linear programming formulation which implies, e. g., all clique inequalities.

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Author:Ralf Borndörfer, Olga Heismann
Document Type:ZIB-Report
Tag:assignment; directed hypergraphs; hyperassignment
MSC-Classification:05-XX COMBINATORICS (For finite fields, see 11Txx) / 05Cxx Graph theory (For applications of graphs, see 68R10, 81Q30, 81T15, 82B20, 82C20, 90C35, 92E10, 94C15) / 05C65 Hypergraphs
Date of first Publication:2012/03/07
Series (Serial Number):ZIB-Report (12-14)
ISSN:1438-0064
Published in:Appeared in: Discrete Optimization 15 (2015) pp. 15-25
DOI:http://dx.doi.org/10.1016/j.disopt.2014.11.002

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